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Finding the Fourth Proportional to 920.23, 1,372.82 and 895.12

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Solution

The fourth proportional to 920.23, 1,372.82 and 895.12 is: 1,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.23 : 1,372.82 = 895.12 : x
  2. Step 2: Convert to fraction form
    920.23/1,372.82 = 895.12/x
  3. Step 3: Cross multiply
    920.23x = 1,372.82 × 895.12
  4. Step 4: Simplify right side
    920.23x = 1,228,830.73
  5. Step 5: Solve for x
    x = 1,228,830.73/920.23
  6. Step 6: Final answer
    x = 1,335.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.